Question:
The Martinez family walked three over five of a mile in three over eight of an hour. What equation can be used to calculate their unit rate in miles per hour?
Answer:
[tex]\frac{3/5}{3/8} = 1 \frac{3}{5}[/tex] mile per hour
Explanation:
Given
Distance = 3/5 mile
Time = 3/8 hour
Required
Equation to calculate their unit rate in miles per hour?
To get the equation to calculate their unit rate in miles per hour, follow the steps below;
Step 1: Determine what miles per hour represent;
We know that mile is a measure of distance and hour is a measure of time.
The ratio of these two is a measure of speed.
Hence, the question can be interpreted as write an equation to calculate their speed
Step 2: Calculate their speed
We can calculate speed using the following formula
[tex]Speed = \frac{Distance }{Time}[/tex]
By Substitution
[tex]Speed = \frac{3/5}{3/8}[/tex]
The above expression is the equation that can be used to calculate their unit rate in miles per hour (in other words, their speed)
Solving this expression, we have
[tex]\frac{3/5}{3/8} = \frac{3}{5} / \frac{3}{8}[/tex]
Convert division to multiplication
[tex]\frac{3/5}{3/8} = \frac{3}{5} * \frac{8}{3}[/tex]
[tex]\frac{3/5}{3/8} = \frac{8}{5}[/tex]
Convert to mixed fraction
[tex]\frac{3/5}{3/8} = 1 \frac{3}{5}[/tex]
Hence, the expression is [tex]\frac{3/5}{3/8} = 1 \frac{3}{5}[/tex] mile per hour
